How would light behave differently if we lived in a hyperbolic space?
The applications of non-euclidean distance | Metric Spaces

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Information Technology (IT), Architecture, Physics, Science
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11th Grade - University
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Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
It would travel in straight lines.
It would curve more than in Euclidean space.
It would not be affected at all.
It would travel faster than in Euclidean space.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In chess, what is the minimum number of moves a king needs to travel between two squares?
The number of turns needed.
The number of pieces in between.
The number of diagonal moves required.
The number of squares between them.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key requirement for a function to be considered a distance function?
It must satisfy the triangle inequality.
It must be zero for different points.
It must always be negative.
It must be asymmetric.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a metric in the context of distance?
A function that measures time.
A function that measures area.
A function that defines distance between two points.
A function that calculates speed.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which metric is used to estimate travel distance in a city with a grid layout?
Euclidean metric
Taxicab metric
Maximum metric
Discrete metric
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the maximum metric used for in chess?
Determining the number of moves for a king.
Calculating the shortest path for a knight.
Finding the distance for a bishop.
Measuring the area of the board.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which metric is used to calculate the number of moves a king needs to reach a square in chess?
Taxicab metric
Euclidean metric
Maximum metric
Discrete metric
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